Fluctuation Dominated Phase Ordering

Abstract

In this thesis, we study a system of hard-core particles sliding locally down- wards on a fluctuating one-, and two-dimensional surfaces with overall zero tilt. We consider surfaces that evolve according to (i) Kardar-Parisi-Zhang (KPZ), and (ii) Edwards-Wilkinson (EW) dynamics. We find that the surface fluc- tuations lead to large-scale clustering of particles showing a cusp singularity in the scaled two-point correlation function at small arguments, signifying the breakdown of Porod law – a signature of fluctuation-dominated phase ordering.